Finding the Third Proportional to 91,665 and 189,243

Step by Step Solution

1. Step 1: Write the proportion equation
   91,665 : 189,243 = 189,243 : x
2. Step 2: Convert to fraction form
   91,665/189,243 = 189,243/x
3. Step 3: Cross multiply
   91,665x = 189,243 × 189,243
4. Step 4: Simplify right side
   91,665x = 35,812,913,049
5. Step 5: Solve for x
   x = 35,812,913,049/91,665
6. Step 6: Final answer
   x = 390,693.43